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Wavelets and the squeezed states of quantum opticsWavelets are new mathematical objects which act as 'designer trigonometric functions.' To obtain a wavelet, the original function space of finite energy signals is generalized to a phase-space, and the translation operator in the original space has a scale change in the new variable adjoined to the translation. Localization properties in the phase-space can be improved and unconditional bases are obtained for a broad class of function and distribution spaces. Operators in phase space are 'almost diagonal' instead of the traditional condition of being diagonal in the original function space. These wavelets are applied to the squeezed states of quantum optics. The scale change required for a quantum wavelet is shown to be a Yuen squeeze operator acting on an arbitrary density operator.
Document ID
19920012833
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Defacio, B. (Missouri Univ. Columbia, MO, United States)
Date Acquired
September 6, 2013
Publication Date
February 1, 1992
Publication Information
Publication: NASA. Goddard Space Flight Center, Workshop on Squeezed States and Uncertainty Relations
Subject Category
Optics
Accession Number
92N22076
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-0307-90
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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